17 



CON T E N T S . 



PAH 

 PREFACE 1X 



FIKST BOOK. 



GENERAL RELATIONS BETWEEN THE QUANTITIES BY WHICH THE MOTIONS 

 OF HEAVENLY BODIES ABOUT THE SUN ARE DEFINED. 



FIRST SECTION. Relations pertaining simply to position in the Orbit 

 SECOND SECTION. Relations pertaining simply to Position in Space . 



THIRD SECTION. Relations between Several Places in Orbit 100 



FOURTH SECTION. Relations between Several Places in Space ..... 153 



SECOND BOOK. 



INVESTIGATION OF THE ORBITS OF HEAVENLY BODIES FROM GEOCENTRIC 



OBSERVATIONS. 



FIRST SECTION. Determination of an Orbit from Three Complete Observations . .161 



SECOND SECTION. Determination of an Orbit from Four Observations, of which Two only 



are Complete 



THIRD SECTION. Determination of an Orbit satisfying as nearly as possible any number of 



Observations whatever ....... 



FOURTH SECTION. On the Determination of Orbits, taking into account the Perturbations . 274 



APPENDIX 279 



TABLES 329 



(vii) 



